%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL102-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:38:28 AM UTC 2026
% Result : Unsatisfiable 0.89s 0.39s
% Output : Refutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,axiom,
! [X2,X0,X1] :
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X0,X2),c_Comb_Ocomb_Oop_A_D_D(X1,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox/benchmark/Axioms/COL002-0.ax',cls_Comb_Ocontract_OAp1_0) ).
fof(f430,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
| ~ c_in(X0,X1,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f1471,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X4,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
| ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
| c_in(c_Pair(X4,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).
fof(f1473,negated_conjecture,
c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1474,negated_conjecture,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1475,negated_conjecture,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1483,plain,
! [X0] :
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolution,[],[f1471,f1474]) ).
fof(f1490,plain,
! [X0] :
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolution,[],[f1483,f430]) ).
fof(f1491,plain,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolution,[],[f1490,f1475]) ).
fof(f1493,plain,
~ c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolution,[],[f1491,f34]) ).
fof(f1494,plain,
$false,
inference(forward_subsumption_resolution,[],[f1493,f1473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL102-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n004.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 21:36:52 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.89/0.39 % (815197)Will run a generic schedule for satisfiability detection.
% 0.89/0.39 % (815206)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3423483137:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.89/0.39 % (815203)% WARNING: option uhcvi not known.
% 0.89/0.39 % (815202)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3058812510_2999 on theBenchmark for (2999ds/0Mi)
% 0.89/0.39 % (815203)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3402254123:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.89/0.39 % (815204)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1225872074:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.89/0.39 % (815205)dis+10_1_sil=32000:sp=arity:random_seed=1542371078:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.89/0.39 % (815207)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1513096729:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.89/0.39 % (815208)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1889513269:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.89/0.39 % (815206)Instruction limit reached!
% 0.89/0.39 % (815206)------------------------------
% 0.89/0.39 % (815206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (815206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (815206)CaDiCaL version: 2.1.3
% 0.89/0.39 % (815206)Termination reason: Instruction limit
% 0.89/0.39 % (815206)Termination phase: Saturation
% 0.89/0.39 % (815206)Time elapsed: 0.041 s
% 0.89/0.39 % (815206)Peak memory usage: 14 MB
% 0.89/0.39 % (815206)Instructions burned: 117 (million)
% 0.89/0.39 % (815216)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1655832795:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.89/0.39 % TRYING [1]
% 0.89/0.39 % (815205)Instruction limit reached!
% 0.89/0.39 % (815205)------------------------------
% 0.89/0.39 % (815205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (815205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (815205)CaDiCaL version: 2.1.3
% 0.89/0.39 % (815205)Termination reason: Instruction limit
% 0.89/0.39 % (815205)Termination phase: Saturation
% 0.89/0.39 % (815205)Time elapsed: 0.068 s
% 0.89/0.39 % (815205)Peak memory usage: 14 MB
% 0.89/0.39 % (815205)Instructions burned: 103 (million)
% 0.89/0.39 % TRYING [2]
% 0.89/0.39 % (815207)Instruction limit reached!
% 0.89/0.39 % (815207)------------------------------
% 0.89/0.39 % (815207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (815207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (815207)CaDiCaL version: 2.1.3
% 0.89/0.39 % (815207)Termination reason: Instruction limit
% 0.89/0.39 % (815207)Termination phase: Saturation
% 0.89/0.39 % (815207)Time elapsed: 0.074 s
% 0.89/0.39 % (815207)Peak memory usage: 14 MB
% 0.89/0.39 % (815207)Instructions burned: 131 (million)
% 0.89/0.39 % TRYING [1]
% 0.89/0.39 % TRYING [2]
% 0.89/0.39 % (815218)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1347479495:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.89/0.39 % (815219)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1940227986:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.89/0.39 % (815208)Instruction limit reached!
% 0.89/0.39 % (815208)------------------------------
% 0.89/0.39 % (815208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (815208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (815208)CaDiCaL version: 2.1.3
% 0.89/0.39 % (815208)Termination reason: Instruction limit
% 0.89/0.39 % (815208)Termination phase: Saturation
% 0.89/0.39 % (815208)Time elapsed: 0.099 s
% 0.89/0.39 % (815208)Peak memory usage: 14 MB
% 0.89/0.39 % (815208)Instructions burned: 159 (million)
% 0.89/0.39 % (815219) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-815197-815219"...
% 0.89/0.39 % (815219)...printing done.
% 0.89/0.39 % (815219)Refutation found. Thanks to Tanya!
% 0.89/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.89/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.89/0.39 % (815219)------------------------------
% 0.89/0.39 % (815219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (815219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (815219)CaDiCaL version: 2.1.3
% 0.89/0.39 % (815219)Termination reason: Refutation
% 0.89/0.39 % (815219)Time elapsed: 0.010 s
% 0.89/0.39 % (815219)Peak memory usage: 14 MB
% 0.89/0.39 % (815219)Instructions burned: 15 (million)
% 0.89/0.39 % (815197)Success in time 0.172 s
% 0.89/0.39 % Vampire exiting
%------------------------------------------------------------------------------